若数列{an}满足:a1=1,an+1=2an(n∈N*),则a5=______;前8项的和S8=______.(用数字作答)-数学

题目简介

若数列{an}满足:a1=1,an+1=2an(n∈N*),则a5=______;前8项的和S8=______.(用数字作答)-数学

题目详情

若数列{an}满足:a1=1,an+1=2an(n∈N*),则a5=______;前8项的和S8=______.(用数字作答)
题型:填空题难度:中档来源:北京

答案

a1=1,a2=2a1=2,a3=2a24,a4=2a3=8,a5=2a4=16,
∵an+1=2an,即
an+1
an
=2
∴数列{an}为等比数列,首项为1,公比为2.
S8=
28-1
2-1
=255

∴故答案为:16,255.

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